Of course you can, with some restrictions of origin and/or destination country. Where do you live/move to? And you'll have to verify your address again.
You can change country, just simply because you moved. But why you need change name? Did you buy an AdSense account?
If your current account's address is in Asia or the Middle East you likely can't change the payee name in your account. The only thing you can do is cancel the account and apply for a new one. Also: https://www.google.com/adsense/support/bin/answer.py?hl=en&answer=32841 Adsense accounts aren't allowed to be transferred from one person to another, anyway.
according to adsense helps, some of the country are not allowed to change but i change it before by sending email to adsense team. Previously i was working oversea and i email to adsense team to change the account to my own country when i was back, and adsense team approve it